Chapter 4 Lesson 6
Multiplying Mixed Numbers
Page 170-171
1. Rewrite mixed numbers as improper fractions.
2. Multiply the numerators and denominators.
3. Change back to a mixed number. Simplify!
23
4
2 x 4 = 8 + 3 = 11
4
11 x
4 x
Cross Cancel:
11 X 10: 11, 2, 5
4 X 3:
2, 2, 3
9
6 55
-54
1
3 1 3 x 3 = 9 + 1 = 10
3
3
10
3
or
= 55
6
91
6
=
=
110
12
Simplify:(before or after divide)
110 ÷ 2 55
12 ÷ 2 6
9
12 110
-108
2
9 2 ÷2 91
12 ÷ 2
6
Mixed Numbers into an Improper Fraction:
1. Side(whole number) times bottom (denominator). Add
the top (numerator). This step becomes the numerator.
2. Keep the denominator the same.
(whole number x denominator) + numerator
Denominator
5 ⅜ = 5 x 8 = 40 + 3 = 43
43
8
*Remember: improper means the top number is bigger
Improper Fraction into Mixed Number:
1. Bottom divides into top--whole #
2. Top subtracts bottom--numerator
-If the whole number is bigger than one, multiply the
whole number and denominator, then subtract
3. Bottom stays the same
OR:
* Create a division problem
numerator
whole number
denominator
denominator numerator
Answer will look like this: whole number =numerator
denominator
43
8
5 (whole number)
(denominator) 8 43
-40
3 (numerator)
5⅜
1.
1
2
2 3
4
1
2
2 x 4 + 3 = 11
4
1
2
2.
x
x
5 4
7
11
4
= 11
= 8
1 2
3
5 x 7 + 4 = 39
7
39
7
1
8 11
-8
3
x
x
5
3
9 6 ÷ 3
21 ÷ 3
1x3+2=5
3
=
195
21
= 9 2
7
39
x5
195
9
21 195
-189
6
1 3/8
3.
6
2 1
2
6
1
6
1
2x2+1=5
2
x
x
5
2
= 30
2
2
*Source: Houghton Mifflin Textbook
15
30
-2
10
-10
0
15